Quadrilaterals: Theorems and Problems
5
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![Quadrilateral Index](../geometry/quadrilateral_index_170.jpg) |
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![Elearning 312: Cyclic quadrilateral](../problem/p312_cyclic_quadrilateral_1.jpg) |
Proposed Problem 312.
Cyclic quadrilateral, Side extensions, Tangents. |
![Quadrilateral, Perpendicular, Squares, Area](../problem/p280_quadrilateral_squares_.jpg) |
Proposed Problem 280.
Quadrilateral, Perpendiculars, Area of Squares. |
![Problem 273 Triangle and Squares](../problem/p273_triangle_square_17.jpg) |
Proposed Problem 273.
Triangle, Perpendiculars, Area of Squares. |
![Rectangle, Isosceles Right Triangle, Square, Area](../problem/p252_rectangle_area_17.jpg) |
Proposed Problem 252.
Parallelogram, sides, diagonals, squares, areas.
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![Elearning 251: Parallelogram](../problem/p251_parallelogram_area_17.jpg) |
Proposed Problem 251.
Parallelogram, sides, diagonals, squares, areas.
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![Quadrilateral, diagonals, midpoints](../problem/p250_quadrilateral_17.jpg) |
Proposed Problem 250.
Quadrilateral, sides, diagonals, midpoints, squares.
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![Elearning 245: Parallelogram](../problem/p245_parallelogram_equilate.jpg) |
Proposed Problem 245. Parallelogram with Equilateral triangles
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![Elearning 244: Square center, diagonal](../problem/p244_square_diagonal_17.jpg) |
Proposed Problem 244. Square, Diagonals, Centers, Distance.
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![Elearning 243](../problem/p243_equilateral_triangle_1.jpg) |
Proposed Problem 243. Triangle with Equilateral triangles,
Parallelogram.
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![Elearn 242: Equilateral triangle and parallelogram](../problem/p242_equilateral_triangle_1.jpg) |
Proposed Problem 242. Triangle with Equilateral triangles,
Parallelogram.
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![Triangle with equilateral triangles](../problem/p240_equilateral_triangle_1.jpg) |
Proposed Problem 240. Triangle with Equilateral triangles,
Parallelogram.
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![Square, Midpoint, Congruence, Pythagoras](../problem/p239_square_midpoint_17.jpg) |
Proposed Problem 239. Square, Midpoints, Lines, Congruence,
Pythagoras.
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![Square. Midpoint, Congruence](../problem/p238_square_midpoint_17.jpg) |
Proposed Problem 238. Square, Midpoints, Lines, Congruence.
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![Quadrilateral, midpoints](../problem/p237_quadrilateral_17.jpg) |
Proposed Problem 237. Quadrilateral, Midpoints, Exterior line,
Perpendicular lines.
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![Quadrilateral, midpoints](../problem/p236_quadrilateral_17.jpg) |
Proposed Problem 236. Quadrilateral, Midpoints, Exterior line,
Perpendicular lines.
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![Problem about Parallelogram and transversal](../problem/p235_parallelogram_17.jpg) |
Proposed Problem 235. Parallelogram, Transversal line, Perpendicular
lines.
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![Problem 233: Parallelogram](../problem/p234_parallelogram_17.jpg) |
Proposed Problem 234. Parallelogram, Line through a vertex,
Perpendicular lines.
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![Elearn 232: Parallelogram](../problem/p233_parallelogram_17.jpg) |
Proposed Problem 233. Parallelogram, Exterior line, Perpendicular
lines.
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![Elearn 232: Parallelogram, perpendicular lines](../problem/p232_parallelogram_problem_.jpg) |
Proposed Problem 232. Parallelogram, Line through a vertex,
Perpendicular lines.
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![Elearn 230: Triangle, Midpoint, Transversal](../problem/p230_triangle_midpoint_17.jpg) |
Proposed Problem 230. Triangle, Midpoints, Transversal,
Perpendicular lines.
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![Elearn 229: Triangle, Centroid, Transversal](../problem/p229_triangle_centroid_17.jpg) |
Proposed Problem 229. Triangle, Centroid, Transversal, Perpendicular
lines. |
![Elearn 228: Triangle, Midpoint](../problem/p228_triangle_midpoint_17.jpg) |
Proposed Problem 228. Triangle, Midpoints, Exterior line,
Perpendiculars lines.
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![Elearn 227: Triangle, Centroid](../problem/p227_triangle_centroid_17.jpg) |
Proposed Problem 227. Triangle, Centroid, Exterior line,
Perpendicular lines. |
![Problem 226: Triangle, Centroid](../problem/p226_triangle_centroid_17.jpg) |
Proposed Problem 226. Triangle, Centroid, Perpendiculars. |
![Viviani theorem extension, regular polygon](../problem/p225_viviani_theorem_17.jpg) |
Proposed Problem 225. Viviani's Theorem Extension, Regular Polygon,
Apothem, Distance. |
![Rhomus problem](../problem/p219_rhombus_mean_17.jpg) |
Proposed Problem 219. Rhombus, perpendiculars, arithmetic mean.
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![Elearn: Quadrilateral, Angle Bisectors, Concurrency](../problem/p216_quadrilateral_concurre.jpg) |
Proposed Problem 216. Quadrilateral, Angle Bisectors, and
Concurrency.
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![Elearn 215: Cyclic quadrilateral](../problem/p215_quadrilateral_cyclic.jpg) |
Proposed Problem 215.
Quadrilateral, Angle Bisectors, and Cyclic
Quadrilateral.
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![Elearn 214](../problem/p214_quadrilateral_problem.jpg) |
Proposed Problem 214.
Quadrilateral and Angle Bisectors.
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![Classical Theorems](../geometry/classical_theorems_17.jpg) |
Classical Theorems.
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![Archimedes Arbelos and Square](../geometry/arbelos_circle_square_2_17.jpg) |
Archimedes Arbelos and Square 2.
Dynamic Geometry Software.
Step-by-Step construction, Manipulation, and animation. |
![Archimedes Arbelos and Square](../geometry/arbelos_circle_square_17.jpg) |
Archimedes Arbelos and Square 1.
Dynamic Geometry Software.
Step-by-Step construction, Manipulation, and animation. |
![Geometry problem about angles and triangle](../problem/p198_quadrilateral_angle_17.jpg) |
Proposed Problem 198. Triangle, Quadrilateral, Angles.
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![Geometry Problem 191 about triangle and squares](../problem/p191_triangle_square_17.jpg) |
Proposed Problem 191. Triangle,
Altitudes, Orthocenter, Squares, Areas.
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![Elearning 189](../problem/p189_square_fact_17.jpg) |
Proposed Problem
189. Squares, Distances. |
![Elearning 188](../problem/p188_square_45_degree_17.gif) |
Proposed Problem 188. Square,
Diagonal, 45 Degrees Angle. |
![Trapezoid and triangle problem](../problem/p185_trapezoid_angle_17.jpg) |
Proposed Problem 185. Trapezoid,
Triangles and Angles. |
![Elearning: Triangle, Angle](../problem/p184_triangle_angle_17.jpg) |
Proposed Problem 184. Triangle
and Angles. |
![Circular Sector 90 degree](../problem/p181_circular_sector_90_17.jpg) |
Proposed Problem 181. Circular
Sector of 90 degrees, find an angle. |
![Rhombus, Square, Angle](../problem/p179_rhombus_square_17.jpg) |
Proposed Problem 179. Rhombus,
Square, Diagonal, Angle. |
![Geometry problem 178 Quadrilateral area](../problem/p178_quadrilateral_area_17.jpg) |
Proposed Problem 178.
Quadrilateral, Trisection of sides, Area.
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![Elearning 177: Parallelogram with midpoints, Area](../problem/p177_parallelogram_area_17.jpg) |
Proposed Problem 177.
Parallelogram with Midpoints, Triangles, Areas. |
![Elearning 176: Quadrilateral Area Problem](../problem/p176_quadrilateral_area_17.jpg) |
Proposed Problem 176.
Quadrilateral with Midpoints, Triangles, Areas.
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![Elearning 175: Quadrilateral Area Problem](../problem/p175_quadrilateral_area_17.jpg) |
Proposed Problem 175.
Quadrilateral with Midpoints, Areas.
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![Quadrilateral with Midpoints, Triangles Area](../problem/p174_quadrilateral_area_17.jpg) |
Proposed Problem 174.
Quadrilateral with Midpoints, Triangles, Areas.
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![Quadrilateral with Midpoints, Triangles Area](../problem/p173_quadrilateral_area_17.jpg) |
Proposed Problem 173.
Quadrilateral with Midpoints, Triangles, Areas.
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![Elearning 172: Trapezoid, Quadrilateral, Area](../problem/p172_trapezoid_quadrilatera.jpg) |
Proposed Problem 172. Trapezoid,
Midpoints, Quadrilaterals, Areas.
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![Elearning 172: Trapezoid, Midpoints, Quadrilaterals, Areas](../problem/p171_trapezoid_triangle_17.jpg) |
Proposed Problem 171. Trapezoid,
Midpoints, Triangles, Areas.
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